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Finding the Fourth Proportional to 381,586.24, 526,562.67 and 211,807

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Solution

The fourth proportional to 381,586.24, 526,562.67 and 211,807 is: 292,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,586.24 : 526,562.67 = 211,807 : x
  2. Step 2: Convert to fraction form
    381,586.24/526,562.67 = 211,807/x
  3. Step 3: Cross multiply
    381,586.24x = 526,562.67 × 211,807
  4. Step 4: Simplify right side
    381,586.24x = 111,529,659,444.69
  5. Step 5: Solve for x
    x = 111,529,659,444.69/381,586.24
  6. Step 6: Final answer
    x = 292,279.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.